1.7 Number puzzles

Mathematics

Mathematics in the world around us

Educator section

Memorandum

Critical and developmental outcomes:

The learners must be able to:

1. identify and solve problems and make decisions using critical and creative thinking;

2. work effectively with others as members of a team, group, organisation and community;

3. organise and manage themselves and their activities responsibly and effectively;

4. collect, analyse, organise and critically evaluate information;

5. communicate effectively using visual, symbolic and/or language skills in various modes;

6. use science and technology effectively and critically, showing responsibility towards the environment and the health of others;

6. demonstrate an understanding of the world as a set of related systems by recognising that problem-solving contexts do not exist in isolation;

7. reflect on and explore a variety of strategies to learn more effectively;

8. participate as responsible citizens in the life of local, national, and global communities;

9. be culturally and aesthetically sensitive across a range of social contexts;

10. explore education and career opportunities; and

develop entrepreneurial opportunities.

MODULE 1

• Integration of Themes: Friends
• Inclusively: Although we are all unique, we share many similarities; appearance, sport, education etc.
• Social Justice: Friends and their expected behaviour towards one another.
• A healthy environment: This is our responsibility – what can we do about keeping our environment healthy?

Educators page

Look at the shapes around you.

• What does the window look like? (Learner describes the shape of the window.)
• Who can draw the shape of the window?

How many sides?

How many corners?

• This shape is called a rectangle.
• Teacher does the same with circles, triangles and squares.
• Let them discuss each shape; what its characteristic is and what each one is called.
• Ask learners to bring things, e.g. boxes, containers, objects, bottles, etc.,to school.
• Let learners sort them according to their shapes and identify these shapes.
• Discuss their shapes.

Leaner section

Content

Activity: number puzzles [lo 1.9, lo 1.11, lo 3.1, lo 3.2]

• Complete:

• Use your own numbers in and and

On the board.

• Look again at A:

• Are they true number sentences?

• Now look at B:

• How are the sums in A and B different?
• Which two numbers can be subtracted from the 7 to make the number sentences true? Yes, the ones in a ▲ and a ■ .

• Try these.

• Now

More number puzzles

• Complete:

• Use your own numbers in ● and ▲ and ■ .

• Check and see whether you have written a true number sentence.
• Explain how you checked your sum.

• Sally and Des do their sums like this. Can you?

• Who do you think is right? Why?

• Help Des to do these sums.

• I found them: ...

• Choose one and colour it.

Assessment

Learning Outcome 1: The learner will be able to recognise, describe and represent numbers and their relationships, and to count, estimate, calculate and check with competence and confidence in solving problems.

Assessment Standard 1.9: We know this when the learner performs mental calculations involving:

1.9.1 addition and subtraction for numbers to at least 20;

1.9.2 multiplication of whole numbers with solutions to at least 20;

Assessment Standard 1.11: We know this when the learner explains own solutions to problems.

Learning Outcome 3: The learner will be able to describe and represent characteristics and relationships between two-dimensional shapes and three-dimensional objects in a variety of orientations and positions.

Assessment Standard 3.1: We know this when the learner recognises, identifies and names two-dimensional shapes and three-dimensional objects in the school environment and in pictures, including:

3.1.1 boxes (prisms), balls (spheres) and cylinders;

3.1.2 triangles, squares and rectangles;

• circles.

Assessment Standard 3.2: We know this when the learner describes, sorts and compares two-dimensional shapes and three-dimensional objects in pictures and the environment according to:

3.2.1 size;

3.2.2 objects that roll or slide.